Which expression is equivalent to (64y^100)^(1)/(2) 8y^10 8y^50 32y^10 32y^50

Question

Which expression is equivalent to (64y^100)^(1)/(2) 8y^10 8y^50 32y^10 32y^50

Answer 1

To find the equivalent expression for \((64y^{100})^{\frac{1}{2}}\), we can use the properties of exponents.First, let's break down the expression inside the parentheses:

We can separate the constant and the variable parts:

Now, let's evaluate each part separately:1. Evaluate

:

2. Evaluate \((y^{100})^{\frac{1}{2}}\):

Combining these results, we get:

Therefore, the expression equivalent to \((64y^{100})^{\frac{1}{2}}\) is:

So, the correct answer is:

Question

Which expression is equivalent to (64y^100)^(1)/(2) 8y^10 8y^50 32y^10 32y^50

Solution

Resposta